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作 者:Mehdi ALAEIYAN Mehdi REZAEI
机构地区:[1]School of Mathematics,Iran University of Science and Technology
出 处:《Chinese Annals of Mathematics,Series B》2012年第1期143-148,共6页数学年刊(B辑英文版)
摘 要:Let G be a permutation group positive integer. Then the movement of G on a set Ω with no fixed points in Ω, and m be a is defined as move(G):=supГ{[Г^9 /Г||g ∈ G}. It F was shown by Praeger that if move(G) = m, then |Ω| ≤ 3m + t - 1, where t is the number of G-orbits on ≤. In this paper, all intransitive permutation groups with degree 3m + t - 1 which have maximum bound are classified. Indeed, a positive answer to her question that whether the upper bound |Ω| = 3m + t - 1 for |Ω| is sharp for every t 〉 1 is given.
关 键 词:Intransitive permutation groups Bounded movement ORBIT
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